Finding the Third Proportional to 23,098.50 and 33,022.69

Step by Step Solution

1. Step 1: Write the proportion equation
   23,098.50 : 33,022.69 = 33,022.69 : x
2. Step 2: Convert to fraction form
   23,098.50/33,022.69 = 33,022.69/x
3. Step 3: Cross multiply
   23,098.50x = 33,022.69 × 33,022.69
4. Step 4: Simplify right side
   23,098.50x = 1,090,497,889.72
5. Step 5: Solve for x
   x = 1,090,497,889.72/23,098.50
6. Step 6: Final answer
   x = 47,210.77